Pith Number

pith:3U4Q7RTH

pith:2016:3U4Q7RTH5OJCXXN7RYMH2WTHNL

not attested not anchored not stored refs pending

On some Frobenius groups with the same prime graph as the almost simple group PGL(2,49)

Ali Mahmoudifar

arxiv:1601.00146 v1 · 2016-01-02 · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3U4Q7RTH5OJCXXN7RYMH2WTHNL}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:23:28.326530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd390fc667eb922bddbf8e187d5a676ae7ac3b236b4dc792394b296dc703266c

Aliases

arxiv: 1601.00146 · arxiv_version: 1601.00146v1 · doi: 10.48550/arxiv.1601.00146 · pith_short_12: 3U4Q7RTH5OJC · pith_short_16: 3U4Q7RTH5OJCXXN7 · pith_short_8: 3U4Q7RTH

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/3U4Q7RTH5OJCXXN7RYMH2WTHNL \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: dd390fc667eb922bddbf8e187d5a676ae7ac3b236b4dc792394b296dc703266c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a982ff6167c8ea15bbc3f4c5e7089aae4555179a693b9f99462e4b02ca5db6a2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-01-02T07:01:57Z",
    "title_canon_sha256": "6635495d596252a1d26f891c22e2e2098edaa0b4a21deb30381d97e6dc64fc9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.00146",
    "kind": "arxiv",
    "version": 1
  }
}